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Resummation of threshold double logarithms in gluon fragmentation into 1S0[1,8] quarkonia

  • Hee Sok Chung
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Abstract

I investigate the threshold double logarithmic behavior of the fragmentation function of a gluon into 1S0[1,8] quarkonia, which is suppressed by 1/N in Mellin space. While threshold double logarithms have been resummed to all orders in the strong coupling for gluon fragmentation functions for quarkonia at leading power in 1/N, it has not been known how to resum them for channels suppressed by powers of 1/N. Threshold resummation can be important for the 1S0[1,8] channels, as the tree-level gluon fragmentation functions have finite yet nonzero values at the kinematical threshold. I derive a formalism for resumming the threshold double logarithms for these channels at the leading double logarithmic level and discuss the phenomenological impact.

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Cite

BibTeXRIS
BibTeX
@misc{chung2026resummation,
  title = {{Resummation of threshold double logarithms in gluon fragmentation into $^1S_0^[1,8]$ quarkonia}},
  author = {Hee Sok Chung},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.39029},
  eprint = {2609.39029},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.39029},
}
RIS
TY  - UNPB
TI  - Resummation of threshold double logarithms in gluon fragmentation into ^1S_0^[1,8] quarkonia
AU  - Hee Sok Chung
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.39029
UR  - https://arxiv.org/abs/2609.39029
AB  - I investigate the threshold double logarithmic behavior of the fragmentation function of a gluon into ^1S_0^[1,8] quarkonia, which is suppressed by 1/N in Mellin space. While threshold double logarithms have been resummed to all orders in the strong coupling for gluon fragmentation functions for quarkonia at leading power in 1/N, it has not been known how to resum them for channels suppressed by powers of 1/N. Threshold resummation can be important for the ^1S_0^[1,8] channels, as the tree-level gluon fragmentation functions have finite yet nonzero values at the kinematical threshold. I derive a formalism for resumming the threshold double logarithms for these channels at the leading double logarithmic level and discuss the phenomenological impact.
ER  -